{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.neural_network import MLPClassifier\n",
    "from sklearn.datasets import load_digits\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import classification_report,confusion_matrix\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "digits = load_digits()#载入数据\n",
    "x_data = digits.data #数据\n",
    "y_data = digits.target #标签\n",
    "\n",
    "x_train,x_test,y_train,y_test = train_test_split(x_data,y_data) #分割数据1/4为测试数据，3/4为训练数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=0.0001, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=(100, 50), learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=500, momentum=0.9,\n",
       "       nesterovs_momentum=True, power_t=0.5, random_state=None,\n",
       "       shuffle=True, solver='adam', tol=0.0001, validation_fraction=0.1,\n",
       "       verbose=False, warm_start=False)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mlp = MLPClassifier(hidden_layer_sizes=(100,50) ,max_iter=500)\n",
    "mlp.fit(x_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 数据中心化\n",
    "def zeroMean(dataMat):\n",
    "    # 按列求平均，即各个特征的平均\n",
    "    meanVal = np.mean(dataMat, axis=0) \n",
    "    newData = dataMat - meanVal\n",
    "    return newData, meanVal\n",
    "\n",
    "def pca(dataMat,top):\n",
    "    # 数据中心化\n",
    "    newData,meanVal=zeroMean(dataMat) \n",
    "    # np.cov用于求协方差矩阵，参数rowvar=0说明数据一行代表一个样本\n",
    "    covMat = np.cov(newData, rowvar=0)\n",
    "    # np.linalg.eig求矩阵的特征值和特征向量\n",
    "    eigVals, eigVects = np.linalg.eig(np.mat(covMat))\n",
    "    # 对特征值从小到大排序\n",
    "    eigValIndice = np.argsort(eigVals)\n",
    "    # 最大的n个特征值的下标\n",
    "    n_eigValIndice = eigValIndice[-1:-(top+1):-1]\n",
    "    # 最大的n个特征值对应的特征向量\n",
    "    n_eigVect = eigVects[:,n_eigValIndice]\n",
    "    # 低维特征空间的数据\n",
    "    lowDDataMat = newData*n_eigVect\n",
    "    # 利用低纬度数据来重构数据\n",
    "    reconMat = (lowDDataMat*n_eigVect.T) + meanVal\n",
    "    # 返回低维特征空间的数据和重构的矩阵\n",
    "    return lowDDataMat,reconMat "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "lowDDataMat,reconMat = pca(x_data,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x25ebd4f8320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重构的数据\n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "plt.scatter(x,y,c='r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "predictions = mlp.predict(x_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x25ebd70a8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重构的数据\n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "plt.scatter(x,y,c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lowDDataMat,reconMat = pca(x_data,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWQAAADuCAYAAAAOR30qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nECBgikAIyAIECBAwRSAEZAECBAiYIvh/2IY2Y7+g43kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x25ebd7177f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D  \n",
    "x = np.array(lowDDataMat)[:,0]\n",
    "y = np.array(lowDDataMat)[:,1]\n",
    "z = np.array(lowDDataMat)[:,2]\n",
    "ax = plt.figure().add_subplot(111, projection = '3d') \n",
    "ax.scatter(x, y, z, c = y_data, s = 10) #点为红色三角形 \n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
